Contents
- ๐ What is this?
- ๐จ๐ปโ๐ป How to use it?
- ๐ฐ Examples
- ๐ Nuances
- ๐ค Frequently asked questions
- ๐ Related materials
Find a cutoff or place one value in the list
Enter at least two numbers. Choose Percentile to find a cutoff at a chosen level, or Rank of a value to see where a particular number stands in the list.
Two questions, two calculations
For a percentile, the calculator sorts the list and uses the R6 position below, where p is a fraction from 0 to 1 and n is the count. If the position falls between observations, it interpolates linearly. Positions beyond the ends return the nearest end value.
For a percentile rank, L counts observations below the query and E counts those equal to it. Equal values receive half weight, so a query equal to every observation has rank 50%.
Check the method with numbers
Upper quartile by R6. Enter 10, 20, 20, 30, 40 and choose 75%. The position is 4.5, halfway between 30 and 40, so the result is 35.
Small even list. For 1, 2, 3, 4 at 25%, the position is 1.25. A quarter of the gap from 1 to 2 gives 1.25.
Rank with a tie. In 10, 20, 20, 30, 40, the value 20 has one lower and two equal observations. Its rank is 100 ร (1 + 2/2) / 5 = 40%.
Why another program may disagree
Percentiles have several accepted definitions. This tool uses R6, based on p(n + 1). Some spreadsheets use R7, so short lists can produce different results even when neither calculation is broken. The NIST handbook compares these conventions.
A percentile rank describes this particular list, not a population probability. Keep observations in a consistent unit and retain duplicates. The input accepts spaces, line breaks and semicolons; a decimal point or comma is allowed. Lists are limited to 10,000 numbers and 200,000 characters.
Questions about percentiles and ranks
Is the 75th percentile always an item in my list?
No. R6 interpolation can put it between two adjacent sorted values, as with 35 between 30 and 40.
What does a 40% rank mean here?
With the half-tie rule, 40% of the list lies below the query when equal observations each count as half.
Are repeated numbers discarded?
No. Each occurrence stays in the list and affects both the percentile and the rank.
What happens at 0% and 100%?
The percentile mode returns the minimum at 0% and the maximum at 100%.
Can the rank be 0% or 100%?
Yes. A query below every list value has rank 0%; one above every value has rank 100%.
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